We simulate our model on a two-dimensional lattice, with global mixing. We implement mixing by allowing individuals to exchange places within the network at rate \(\mu \)  (relative to the update rate). The importance of mixing in sociological and ecological studies has been demonstrated in other contexts [1]}, [2]}, [3]}, [4]}. Introducing global mixing on a two-dimensional lattice is similar in concept to using a “small-world" network [5]}. Both cases have regular connections, and random global connections – the difference is that we implement random global connections by switching individuals.
